IDNLearn.com: Where your questions meet expert advice and community support. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

solve the simultaneous equation
4x+7y=1
3x+10y=15


Sagot :

4x +   7y = 1   ⇒ 12x + 21y = 3
3x + 10y = 15 ⇒ 12x + 40y = 60
                                    -19y = -57
                                     -19     -19
                                         y = 3
                             4x + 7(3) = 1
                               4x + 21 = 1
                                     - 21  - 21
                                       4x = -20
                                        4       4 
                                         x = -5
                                   (x, y) = (-5, 3)
4x + 7y = 1
3x + 10y = 15

Multiply the first equation by -3, and the 2nd by 4.

-12x - 21y = -3
12x + 40y = 60

Add the equations:

19y = 57

y = 3

Plug this into any of the two equations to find 'x':

4x + 7y = 1

4x + 7(3) = 1

4x + 21 = 1

Subtract 21 to both sides:

4x = -20

Divide 4 to both sides:

x = -5

So our solution is (-5, 3)
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.